Mathematics, 23.07.2019 07:00 JazzyJo2580
The vertices of a hyperbola are at (-5, -2) and (-5, 12) and the point (-5, 30) is one of its foci. what is the equation of its hyperbola
Answers: 1
![\bf \begin{cases} h=-5\\ k=5\\ a=7\\ c=25 \end{cases}\implies \cfrac{(y-5)^2}{7^2}-\cfrac{[x-(-5)]^2}{b}=1 \\\\\\ \cfrac{(y-5)^2}{7^2}-\cfrac{(x+5)^2}{b}=1\\\\ -------------------------------\\\\ c^2=a^2+b^2\implies \sqrt{c^2-a^2}=b\implies \sqrt{25^2-7^2}=b \\\\\\ \sqrt{625-49}=b\implies \sqrt{576}=b\implies 24=b\\\\ -------------------------------\\\\ \cfrac{(y-5)^2}{7^2}-\cfrac{(x+5)^2}{24^2}=1\implies \cfrac{(y-5)^2}{49}-\cfrac{(x+5)^2}{576}=1](/tpl/images/0122/5244/ba80c.png)
Other questions on the subject: Mathematics
Mathematics, 21.06.2019 23:40, malikapooh124
Klmn and pqrs are similar trapezoids. which side of pqrs corresponds to lm
Answers: 1
Mathematics, 22.06.2019 00:00, martamsballet
Multiply and simplify. 2x^2 y^3 z^2 · 4xy^4 x^2 i will mark you brainliest if right. show how you got the answer, !
Answers: 3
You know the right answer?
The vertices of a hyperbola are at (-5, -2) and (-5, 12) and the point (-5, 30) is one of its foci....
Questions in other subjects:
Computers and Technology, 18.03.2021 02:20
Mathematics, 18.03.2021 02:20
Health, 18.03.2021 02:20
Mathematics, 18.03.2021 02:20
Mathematics, 18.03.2021 02:20
Mathematics, 18.03.2021 02:20
